Consider the function f(x)= cases ax+1, & x 1

MATHEMATICS · Single correct · AP · Calculus AB · Limits and Continuity · Limits and Continuity

Problem

Consider the function

f(x)=\begin{cases} ax+1, & x\le1,\\ x^2, & x>1. \end{cases}

Determine the value of

a

that makes

f

continuous at

x=1

. (a)

a=1

(b)

a=0

(c)

a=2

(d)

a=-1

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